Regarding Moka's ... "duel" personality, well there are still a lot we don't know about the Rosario and how both personalities came into existence ... or rather where the aspects of Moka's Outer personality came from to be definitely sure about our own theories on this topic ... but, as you have mentioned tyranuus there are hints that suggest that Outer Moka's personality came from some hidden aspects of Moka's "true personality" which after Moka's power's where sealed by the Rosario where split up into her Outer and Inner personality.